Stock_Integration_Formulas

Stock_Integration_Formulas - Stock Integration Formulas k,...

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Stock Integration Formulas k, a, and r are constants. General Formulas : 1. kf ( x ) dx = k ! f ( x ) dx ! 2. f ( x ) + g ( x ) dx = f ( x ) dx + g ( x ) dx ! ! ! 3. f ( g ( x )) ! g ( x ) dx " = f ( u ) du " = F ( u ) + C = F ( g ( x )) + C where F is an antiderivative of f . 4. u dv ! = uv " v du ! Powers : 5. k dx = kx + C ! 6. x r dx = x r + 1 r + 1 + C , r ! " 1 # 7. x ! 1 dx = 1 x dx " = ln x + C " Exponentials : 8. e x dx = e x + C ! 9. a x dx ! = a x ln( a ) + C , a > 0, a " 1 Trigonometric : 10. sin x dx ! = " cos x + C 11. cos x dx ! = sin x + C 12. sec 2 x dx ! = tan x + C 13. csc 2 x dx ! = " cot x + C 14 sec x tan x dx ! = sec x + C 15. csc x cot x dx ! = "
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This note was uploaded on 03/15/2009 for the course MTH 252 taught by Professor Smith during the Spring '08 term at Oregon State.

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